Title
Non-quadratic local stabilization for continuous-time Takagi--Sugeno models
Abstract
This paper is concerned with non-quadratic stabilization of continuous-time Takagi-Sugeno (TS) models. The well-known problem of handling time-derivatives of membership functions (MFs) as to obtain conditions in the form of linear matrix inequalities (LMIs) is overcome by reducing global goals to the estimation of a region of attraction. Instead of parallel distributed compensation (PDC), a non-PDC control law is proposed according to the non-quadratic nature of the Lyapunov function. Examples are provided to show the advantages over the quadratic and some non-quadratic approaches.
Year
DOI
Venue
2012
10.1016/j.fss.2011.12.003
Fuzzy Sets and Systems
Keywords
Field
DocType
global goal,non-quadratic stabilization,lyapunov function,membership function,linear matrix inequality,well-known problem,continuous-time takagi-sugeno,non-quadratic approach,sugeno model,non-quadratic nature,non-quadratic local stabilization,non-pdc control law
Lyapunov function,Matrix (mathematics),Control theory,Quadratic equation,Mathematics
Journal
Volume
ISSN
Citations 
201,
0165-0114
49
PageRank 
References 
Authors
1.30
25
4
Name
Order
Citations
PageRank
Thierry Marie Guerra1106073.97
Miguel Bernal233523.65
Kevin Guelton318513.42
Labiod Salim429417.65